מכון איינשטיין למתמטיקה
Einstein Institute of Mathematics
Hebrew University of Jerusalem

Home About Staff Studies Colloquia & Events Research Services & Resources Sites

Annual Lecture Series in Topology and Geometry
in memory of
Prof. Alexander Zabrodsky


The Einstein Institute of Mathematics invites you to this year's Annual Lecture Series in Topology and Geometry in memory of Prof. Alexander Zabrodsky:

Prof. Peter Ozsváth    Princeton


The lectures were held at the Edmond Safra Campus    Givat Ram, Jerusalem

First talk:    Thursday, Jan. 7th, Colloquium, 14:30-15:30    Einstein Institute of Mathematics, Lecture Hall 2

Title: Knot Floer homology

A gathering in memory of Prof. Alexander Zabrodsky will be held at 15:30 in the faculty lounge.


Abstract: Knot Floer homology is an invariant for knots, defined using methods from symplectic geometry. This invariant contains topological information about the knot, such as its Seifert genus; it can be used to give bounds on the unknotting number; and it can be used to shed light on the structure of the knot concordance group. I will outline the construction and basic properties of knot Floer. Knot Floer homology was originally defined in collaboration with Zoltan Szabo, and independently by Jacob Rasmussen.

Second talk:    Sunday, Jan. 10th, 16:00-17:00,    Ross 70A

Title: Computational aspects of knot Floer homology


Abstract: The original construction uses the theory of pseudo-holomorphic curves. In this lecture, I will describe an explicit combinatorial algorithm for computing knot Floer homology in terms of grid diagrams. In this lecture, I will describe joint work with Ciprian Manolescu, Sucharit Sarkar, Zoltan Szabo, and Dylan Thurston.

Third talk:    Monday, Jan. 11th, 12:00-13:00    Ross 70A

Title: Bordered Floer homology


Abstract: Bordered Floer homology is an invariant for three-manifolds with boundary, defined in collaboration with Robert Lipshitz and Dylan Thurston. The invariant associates a DG algebra to a parameterized surface, and a module over that algebra to a three-manifold with boundary. I will explain how methods from bordered Floer homology can be used to give a tidy description of knot Floer homology. This is joint work with Zoltan Szabo.

Back to the Math home page


| Israel Journal of Mathematics | Journal d'Analyse Mathematique |
Mathematics and Computer Science Library | Faculty of Science | The Hebrew University of Jerusalem |

Comments to: N. Levin, email: naavah at math.huji.ac.il
Design, construction & editing: N. Levin
Background image © copyright 1997 by Xah Lee, used with permission.
URL: http://www.math.huji.ac.il/
Last updated: Nov. 24th, 2015